Generalizations of the Durand-Kerner method

06/16/2018

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by   Dmitry I. Khomovsky, et al.

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We propose an approach to constructing iterative methods for simultaneously finding polynomial roots. One feature of which is the use of the fundamental theorem of symmetric polynomials. The most interesting results are the simultaneous Householder's method and some generalizations of the Durand-Kerner method.